Prime p₀= 1635418758111280139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 178 2 28 2 190 2 16 2 10 2 (?)
a_n: 0 2 60 62 240 242 270 272 462 464 480 482 492 494
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 494
Found by: xii5ku
db: batch=78, k=14, 58 178 28 190 16 10

SPT(20)	1635417916242087977	0 2 6 60 62 80 84 90 104 114 182 192 206 212 216 234 236 290 294 296	-841869192162
STPT(10)	1635417921358261091	0 2 6 8 18 20 30 32 36 38	-836753019048
SPT(16)	1635417941259007271	0 6 18 60 120 132 158 186 242 270 296 308 368 410 422 428	-816852272868
SPT(16)	1635418000319255513	0 14 30 44 78 84 86 126 188 228 230 236 270 284 300 314	-757792024626
STPT(10)	1635418432209789707	0 2 30 32 42 44 54 56 84 86	-325901490432
SPT(16)	1635418645285745981	0 6 20 36 62 176 192 222 386 416 432 546 572 588 602 608	-112825534158
SPT(16)	1635418889222795863	0 4 70 76 114 124 184 214 240 270 330 340 378 384 450 454	131111515724
STPT(10)	1635419015918271641	0 2 36 38 78 80 120 122 156 158	257806991502
SPT(16)	1635419043178725109	0 4 30 42 78 118 144 180 232 268 294 334 370 382 408 412	285067444970
STPT(12)	1635419553740403617	0 2 30 32 42 44 90 92 102 104 132 134	795629123478
TPT(14)	1635419653061866949	0 2 30 32 60 62 180 182 198 200 210 212 222 224	894950586810